(a) What is the wavelength of the electrons? (b) What is the momentum of the electrons? (c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in position is the width of the detector.)

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter5: Matter Waves
Section: Chapter Questions
Problem 20P
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An electron beam is shot through 2 thin slits with spacing 4.000 x 10-6 m and land on a
detector 2.50 m away. The detector is 1.00 cm wide. You observe that the spacing of
interference fringes is 8.25 x 10-6 m.
(a) What is the wavelength of the electrons?
(b) What is the momentum of the electrons?
(c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in
position is the width of the detector.)
Transcribed Image Text:An electron beam is shot through 2 thin slits with spacing 4.000 x 10-6 m and land on a detector 2.50 m away. The detector is 1.00 cm wide. You observe that the spacing of interference fringes is 8.25 x 10-6 m. (a) What is the wavelength of the electrons? (b) What is the momentum of the electrons? (c) What is the uncertainty in the momentum? (Hint: assume that the uncertainty in position is the width of the detector.)
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